基本信息
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职业迁徙
个人简介
My research Interest:
I am interested in thoery and practice of learning with complex and structured data, and working from the viewpoints of statistics, mathematics and machine learning. More specific research projects include the following topics;
Topological Data Analysis (TDA): A new methodoogy of data anlalysis for complex geometrical objects. TDA uses persistence homology, which expresses topological and geometrical information of data in an algebraic form.
Kernel method (data analysis with positive definite kernels): Nonparametric data analysis with positive definite kernels and reproducing kernel Hilbert spaces. Expressing probabilistic knowledge using embedding of data in reproducing kernel Hilbert spaces, and its applications to extracting dependence, conditional dependence structure among variables. Inference of causal networks with these methods.
Geometry of algorithms on graphs: Analysis of algorithms on graphs, such as belief propagation, with graph geometry, graph polynomial and so on.
Singular statistical models: Statistical inference with parametric models with singularities. Nonstandard asymptotic behavior of the estimator around sigularities.
I am interested in thoery and practice of learning with complex and structured data, and working from the viewpoints of statistics, mathematics and machine learning. More specific research projects include the following topics;
Topological Data Analysis (TDA): A new methodoogy of data anlalysis for complex geometrical objects. TDA uses persistence homology, which expresses topological and geometrical information of data in an algebraic form.
Kernel method (data analysis with positive definite kernels): Nonparametric data analysis with positive definite kernels and reproducing kernel Hilbert spaces. Expressing probabilistic knowledge using embedding of data in reproducing kernel Hilbert spaces, and its applications to extracting dependence, conditional dependence structure among variables. Inference of causal networks with these methods.
Geometry of algorithms on graphs: Analysis of algorithms on graphs, such as belief propagation, with graph geometry, graph polynomial and so on.
Singular statistical models: Statistical inference with parametric models with singularities. Nonstandard asymptotic behavior of the estimator around sigularities.
研究兴趣
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arxiv(2024)
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CoRR (2024)
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CoRR (2024)
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arXiv (Cornell University) (2023)
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arxiv(2023)
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Journal of the Royal Statistical Society Series B: Statistical Methodologyno. 3 (2023): 986-1011
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